The velocity of an object in meters per second varies directly with time in seconds since the object was dropped, as represented by the table. A two column table with 6 rows. The first column has, Time in seconds, and has the entries, 0, 1, 2, 3, 4. The second column, Velocity in meters per second, has the entries, 0, 9. 8, 19. 6, 29. 4, 39. 2. The acceleration due to gravity is the constant of variation. What is the acceleration due to gravity of a falling object? 4. 9 9. 8 StartFraction m Over s squared EndFraction. 9. 8 9. 8 StartFraction m Over s squared EndFraction. 10. 2 10. 2 StartFraction m Over s squared EndFraction. 19. 6 19. 6 StartFraction m Over s squared EndFraction.
Answers
Therefore, the acceleration due to gravity for the falling object is 9.8 m/s².
To find the acceleration due to gravity, we need to examine the relationship between velocity and time for a falling object. In this case, the velocity is given in the second column of the table, and the time is given in the first column.
Looking at the table, we can observe that the velocity values increase by a constant amount each second. This indicates a linear relationship between velocity and time, which is consistent with the motion of a freely falling object under gravity.
The change in velocity per second represents the acceleration due to gravity. By comparing the velocity values, we can see that the velocity increases by 9.8 m/s each second.
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Related Questions
___ A warm front brings warmer weather with light precipitation
A.true
B.false
Answers
Determine the value of X in the given figure.
please help me.
Answers
Answer:
x = 25
Step-by-step explanation:
Angles in a triangle add up to equal 180
Thus, 180 = 27 + 53 + 4x
We now solve for x
step 1 combine like terms
27 + 53 = 80
we now have 180 = 80 + 4x
step 2 subtract 80 from each side
180 - 80 = 100
80 - 80 cancels out
we now have 100 = 4x
step 3 divide each side by 4
4x / 4 = x
100 / 4 = 25
we're left with x = 25
Today, the waves are crashing onto the beach every 4.5 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 4.5 seconds. Round to 4 decimal places where possible.
The probability that wave will crash onto the beach exactly 0.6 seconds after the person arrives is P(x = 0.6) =
The probability that the wave will crash onto the beach between 1.5 and 2.3 seconds after the person arrives is P(1.5 < x < 2.3) =
The probability that it will take longer than 1 seconds for the wave to crash onto the beach after the person arrives is P(x > 1) =
Suppose that the person has already been standing at the shoreline for 1 seconds without a wave crashing in. Find the probability that it will take between 1.3 and 2 seconds for the wave to crash onto the shoreline.
94% of the time a person will wait at least how long before the wave crashes in? seconds.
Find the minimum for the upper quartile. seconds.
Answers
(a) The probability that a wave will crash onto the beach exactly 0.6 seconds after the person arrives is: P(X = 0.6) = 0. b) P(1.5 < X < 2.3) = 0.511 c) P(X > 1) = 0.7778.
What is probability density function?A probability density function (PDF) expresses the likelihood at which a continuous random variable will take on a particular value. The integral of f(x) across a range is used to determine the likelihood that a continuous random variable X will fall within that range when the PDF f(x) is specified for that variable. Namely, the likelihood that X falls inside of the range [a,b].
The probability density function of random variable X in the interval [a, b] is given as:
f(x) = 1/(b-a), for a ≤ x ≤ b
and its cumulative distribution function is given by:
F(x) = (x-a)/(b-a), for a ≤ x ≤ b
(a) The probability that a wave will crash onto the beach exactly 0.6 seconds after the person arrives is:
P(X = 0.6) = 0, since the Uniform distribution is a continuous distribution and the probability of a specific value is always zero.
(b) For 1.5 and 2.3 seconds after the person arrives is:
P(1.5 < X < 2.3) = F(2.3) - F(1.5)
= (2.3 - 0)/(4.5 - 0) - (1.5 - 0)/(4.5 - 0)
= 0.5111
c) It will take longer than 1 second:
P(X > 1) = 1 - F(1)
= 1 - (1 - 0)/(4.5 - 0)
= 0.7778
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calculate the taylor polynomials 2 and 3 centered at =0 for the function ()=16tan().
Answers
Taylor polynomials of degree 2 and 3 centered at x = 0 for the function f(x) = 16tan(x) are:
P2(x) = 16x + 8x^2
P3(x) = 16x + 8x^2
To find the Taylor polynomials centered at x = 0 for the function f(x) = 16tan(x), we can use the Taylor series expansion for the tangent function and truncate it to the desired degree.
The Taylor series expansion for tangent function is:
tan(x) = x + (1/3)x^3 + (2/15)x^5 + (17/315)x^7 + ...
Using this expansion, we can find the Taylor polynomials of degree 2 and 3 centered at x = 0:
Degree 2 Taylor polynomial:
P2(x) = f(0) + f'(0)(x - 0) + (1/2!)f''(0)(x - 0)^2
= 16tan(0) + 16sec^2(0)(x - 0) + (1/2!)16sec^2(0)(x - 0)^2
= 0 + 16x + 8x^2
Degree 3 Taylor polynomial:
P3(x) = P2(x) + (1/3!)f'''(0)(x - 0)^3
= 0 + 16x + 8x^2 + (1/3!)(48sec^2(0)tan(0))(x - 0)^3
= 16x + 8x^2
Therefore, the Taylor polynomials of degree 2 and 3 centered at x = 0 for the function f(x) = 16tan(x) are:
P2(x) = 16x + 8x^2
P3(x) = 16x + 8x^2
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Monica deposits $300 into a savings account that pays a simple interest rate of 3.9%. Paul deposits $400 into a savings account that pays a simple interest rate of 3.6%. Monica says that she will earn more interest in 1 year because her interest rate is higher. Is she correct? Justify your response.
Answers
Answer:
monica because with 3.4 % that is more than 2.3% and that is what they want to know so its monica
Step-by-step explanation:
The formula for calculating simple interest is given by :
S.I = \(\frac{ptr}{100}\)
For Monica
S.I = 300 x 3.4 x 1 / 100
S.I = $10.2
For Paul
S.1 = 400 x 2.4 x 1 / 100
S.I = $9.6
Therefore : Monica earned more interest
Monica's intrest rate is 1,224 and paul's is 840 so it would be monica.
(Hope this helps can I pls have brainlist (crown)☺️)
(2.4×10−4)+(5.9×10−3)
Answers
Answer:
-36
Step-by-step explanation:
Use PEMDAS to solve
(2.4×10−4)+(5.9×10−3)
([2.4×10]-4)+([5.9×10]-3)
(24-4)+(59-3)
20-56
-36
a rectangle has a length m less than twice its width. when m are added to the width, the resulting figure is a square with an area of . find the dimensions of the original rectangle.
Answers
Let's start by setting up some equations based on the given information.
Let's call the width of the rectangle "w" and the length "l". We know that:
l = 2w - m (since the length is "m less than twice its width")
When we add "m" to the width, we get a square with an area of:
(w + m)^2 =
We can set up another equation based on the fact that the area of the original rectangle is:
A = lw =
Now, we can use the information we have to solve for the dimensions of the original rectangle. We can start by simplifying the equation for the area of the square:
(w + m)^2 =
w^2 + 2wm + m^2 =
Now we can substitute our expression for "l" in terms of "w" and "m":
w(2w - m) =
Expanding this out gives us:
2w^2 - wm =
We can substitute this expression for "lw" in our equation for the area of the square:
2w^2 - wm =
w^2 + 2wm + m^2 =
Now we can simplify this equation by expanding out the square on the left side:
2w^2 - wm =
w^2 + 2wm + m^2 =
2w^2 - wm =
w^2 + 2wm + m^2 =
w^2 + wm + m^2 =
Now we can solve for "m" by subtracting the first equation from the second:
3wm + m^2 =
Subtracting "w^2" from both sides gives us:
wm + m^2 =
Now we can solve for "m" using the quadratic formula:
m =
We can use this value for "m" to solve for the dimensions of the original rectangle. Substituting into our equation for "l" in terms of "w" and "m", we get:
l = 2w - m =
And substituting into our equation for the area of the rectangle, we get:
A = lw =
So the dimensions of the original rectangle are:
Width: w =
Length: l =
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12. The surface area of a cube is 24 cm².
(i) Find the length of its edge.
(ii) Find its volume.
Answers
Answer:
Given :-surface area of a cube is 24 cm².
To find :-➡Edge length = ?
➡ volume = ?
Formula usedTotal Surface Area = 6(edge)²
Volume of cube = (edge)³
Solution:-i) surface area of a cube is 24 cm²
⇒ 6(edge)² = 24
⇒ (edge)² = 24/6
⇒ (edge)² = 4
⇒ (edge) = √4 = + 2 ( as edge length cannot be negative)
Hence, edge of the cube is 2 cm
ii) volume = ?
volume= (edge)³
volume = (2)³
volume = 8 cm³
Hense, volume of the cube is 8cm³
Additional information--Cube: A cube is a three-dimensional shape that is defined in the XYZ plane. It has six faces, eight vertices and twelve edges. All the faces of the cube are square in shape and have equal dimensions.Formulae:-Cube:-Total Surface Area = 6(edge)²Lateral Surface Area = 4 (edge)²Volume of cube = (edge)³Diagonal of a cube = √3(edge)Perimeter of cube = 12 × edge.\( \large \:\sf \underline{Explanation.}\)
\(\sf{\underline{Given}}\)
\( \sf \: surface \: area \: = \: 24 {cm}^{2} \)\(\sf{\underline{Formula}}\)
TSA = 6a²Volume = a³\( \sf \: {Let's \: Begin}\)
(i) Find the length of its edge.
Let edge = x
We know that,
TSA of cube = 6a²
6a² = 24
a² = 24/6
a² = 4
a = √ 4 { Ignore negative value}
a = 2
\( \bf \pink{length \: of \: edge \: \: = \: 2 \: cm}\)
(ii) Find its volume.
We know that,
(2)³
= 8
\( \bf \green{volume \: = \: 8 \: cm {}^{3} }\)
Thus ,
Edge = 2 cmVolume = 8 cm³\( \red {\rule{ \170pt}{4pt}}\)
Here is a linear equation in two variables: 2x+4y−31=123
Answers
Answer:
y=−11x+77/2
Step-by-step explanation:
The procedure for solving simultaneous linear equations now called Gaussian elimination appears in the ancient Chinese mathematical text Chapter Eight: Rectangular Arrays of The Nine Chapters on the Mathematical Art. Its use is illustrated in eighteen problems, with two to five equations.[4]
Systems of linear equations arose in Europe with the introduction in 1637 by René Descartes of coordinates in geometry. In fact, in this new geometry, now called Cartesian geometry, lines and planes are represented by linear equations, and computing their intersections amounts to solving systems of linear equations.
The first systematic methods for solving linear systems used determinants, first considered by Leibniz in 1693. In 1750, Gabriel Cramer used them for giving explicit solutions of linear systems, now called Cramer's rule. Later, Gauss further described the method of elimination, which was initially listed as an advancement in geodesy.[5]
In 1844 Hermann Grassmann published his "Theory of Extension" which included foundational new topics of what is today called linear algebra. In 1848, James Joseph Sylvester introduced the term matrix, which is Latin for womb.
Linear algebra grew with ideas noted in the complex plane. For instance, two numbers w and z in {\displaystyle \mathbb {C} }\mathbb {C} have a difference w – z, and the line segments {\displaystyle {\overline {wz}}}{\displaystyle {\overline {wz}}} and {\displaystyle {\overline {0(w-z)}}}{\displaystyle {\overline {0(w-z)}}} are of the same length and direction. The segments are equipollent. The four-dimensional system {\displaystyle \mathbb {H} }\mathbb {H} of quaternions was started in 1843. The term vector was introduced as v = x i + y j + z k representing a point in space. The quaternion difference p – q also produces a segment equipollent to {\displaystyle {\overline {pq}}.}{\displaystyle {\overline {pq}}.} Other hypercomplex number systems also used the idea of a linear space with a basis.
Arthur Cayley introduced matrix multiplication and the inverse matrix in 1856, making possible the general linear group. The mechanism of group representation became available for describing complex and hypercomplex numbers. Crucially, Cayley used a single letter to denote a matrix, thus treating a matrix as an aggregate object. He also realized the connection between matrices and determinants, and wrote "There would be many things to say about this theory of matrices which should, it seems to me, precede the theory of determinants".[5]
Benjamin Peirce published his Linear Associative Algebra (1872), and his son Charles Sanders Peirce extended the work later.[6]
The telegraph required an explanatory system, and the 1873 publication of A Treatise on Electricity and Magnetism instituted a field theory of forces and required differential geometry for expression. Linear algebra is flat differential geometry and serves in tangent spaces to manifolds. Electromagnetic symmetries of spacetime are expressed by the Lorentz transformations, and much of the history of linear algebra is the history of Lorentz transformations.
The first modern and more precise definition of a vector space was introduced by Peano in 1888;[5] by 1900, a theory of linear transformations of finite-dimensional vector spaces had emerged. Linear algebra took its modern form in the first half of the twentieth century, when many ideas and methods of previous centuries were generalized as abstract algebra. The development of computers led to increased research in efficient algorithms for Gaussian elimination and matrix decompositions, and linear algebra became an essential tool for modelling and simulations.[5]
Vector spaces
Main article: Vector space
Until the 19th century, linear algebra was introduced through systems of linear equations and matrices. In modern mathematics, the presentation through vector spaces is generally preferred, since it is more synthetic, more general (not limited to the finite-dimensional case), and conceptually simpler, although more abstract.
A vector space over a field F (often the field of the real numbers) is a set V equipped with two binary operations satisfying the following axioms. Elements of V are called vectors, and elements of F are called scalars. The first operation, vector addition, takes any two vectors v and w and outputs a third vector v + w. The second operation, scalar multiplication, takes any scalar a and any vector v and outputs a new vector av. The axioms that addition and scalar multiplication must satisfy are the following. (In the list below, u, v and w are arbitrary elements of V, and a and b are arbitrary scalars in the field F.)[7]
Two point charges of 6.73 x 10-9 C are situated in a Cartesian coordinate system. One charge is at the origin while the other is at (0.85, 0) m. What is the magnitude of the net electric field at the location (0, 0.87) m?
Answers
When calculating the electric field, we use the principle of superposition. Superposition is an idea in physics that says that when two waves pass through each other, the result is the sum of the amplitudes of the two waves. Superposition is also relevant to the addition of forces and fields, and can be used to find the net electric field produced by two charges. Therefore, the net electric field is the sum of the electric fields of the two charges. We can use Coulomb’s law to determine the electric field created by each point charge. Coulomb’s law states that the magnitude of the electric force between two point charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.
The equation for Coulomb’s law is F=kQ1Q2/r².
where F is the force, Q1 and Q2 are the charges of the two particles, r is the distance between the two particles, and k is Coulomb’s constant.
To find the net electric field at the location (0,0.87) m, we have to use the distance formula to find the distance between the point charge and the location.
The distance between the point charge at the origin (0,0) and the point (0,0.87) m is d = 0.87 m
The distance between the point charge at (0.85,0) and the point (0,0.87) m is d = sqrt[(0.85 m)² + (0.87 m)²] = 1.204 m
Now, we can find the electric field due to each charge and add them up to get the net electric field.
Electric field due to the point charge at the origin:
kQ/r² = (9 x 10⁹ N·m²/C²)(6.73 x 10⁻⁹ C)/(0.87 m)² = 5.99 x 10⁴ N/C
Electric field due to the point charge at (0.85,0) m:
kQ/r² = (9 x 10⁹ N·m²/C²)(6.73 x 10⁻⁹ C)/(1.204 m)² = 3.52 x 10⁴ N/C
The net electric field is the vector sum of the electric fields due to each charge.
E = E1 + E2
E = (5.99 x 10⁴ N/C)i + (3.52 x 10⁴ N/C)j
E = (5.99 x 10⁴ N/C)i + (3.52 x 10⁴ N/C)k
E = sqrt[(5.99 x 10⁴ N/C)² + (3.52 x 10⁴ N/C)²]
E = 7.02 x 10⁴ N/C
Therefore, the magnitude of the net electric field at the location (0,0.87) m is 7.02 x 10⁴ N/C.
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What is the vertical distance between 580ft above sea level and 200ft below sea level. Help
Answers
Answer:
780ft Hope i helped <3
Step-by-step explanation:
Answer:
780 ft
Step-by-step explanation:
you have to think of it as adding the two and not subtracting because they are asking the total distance. The first one is above sea level so it's 580 above sea level. the second one is under sea level so 200 ft under sea level. that means that the total distance if we start from under the sea 200 ft up to the sea level and then another 580 ft to above sea level!
Point a and b are on the different sides of line l the distance between a and line l is 10 the distance between line l and b is 4 what is the ditance between o and line l
Answers
Answer:
3 m
Step-by-step explanation:
The distance between the point O and l; this is the distance of the midpoint ;
Distance between A and l = 10m
Distance between B and l = 4 m
Difference between. Al and Bl divided by 2:
(10m - 4m) / 2
= 6m /2
= 3m
someone help meee plz
Answers
Zoey is 362 meters below sea level while visiting a part of Israel. She descends 71 meters to visit the Dead Sea. Which integer represents the elevation, in meters, of the Dead Sea?
–433
–391
–311
–291
PLZ HELP I'M TAKING A TEST AND I AM BEING TIMED!!!
Answers
Answer:
-433 meters
Step-by-step explanation:
362 + 71 = 433
-433
Answer:
-433
Step-by-step explanation:
i agree
The function below represents the annual interest Charlotte earns on a savings account. Identify the term that represents the interest rate.
f(x) = 1,000(1 + 0.04)x
a:1000
b:1
c:0.04
d:x
Answers
Answer: C.
Step-by-step explanation:
0.04 is the interest rate because it is equivalent of 4%.
Answer: 0.04
Step-by-step explanation:
Julia's dog Toby had 5 puppies. Each pup eats 0. 13 pounds of dog food every day. How much dog food do puppies eat in 1 day?
Answers
Answer:
0.65
Step-by-step explanation:
0.13 * 5 = 0.65
Find the measures of the angles of a triangle with one angle measuring 130 and the other two measuring x.
Answers
Answer:
x = 25 degrees
Step-by-step explanation:
The sum of the angles of a triangle is always 180 degrees. Therefore, in a triangle with one angle measuring 130 degrees, the measures of the other two angles must add up to 180-130 = 50 degrees.
So, if the measures of the other two angles are x, the equation would be:
x + x = 50
This means that the measure of each angle is 50/2 = 25 degrees.
Therefore, in a triangle with one angle measuring 130 degrees, the measures of the other two angles are both 25 degrees.
rectangle ABCD with diagonal AC, labeled as measuring 5 inches, angle BAC measuring 30 degrees, angle BCA measuring 60 degrees, angle DCA measuring 30 degrees, and angle DAC measuring 60 degrees. Rounded to the nearest tenth, what is the perimeter of rectangle ABCD?
Answers
Answer:
5 + 10\(\sqrt{3}\)
= 22.3205080757
Step-by-step explanation:
Answer:
≈ 13,7 inches
Step-by-step explanation:
Just use trigonometry (sin or cos) from the right triangles ∆ABC and ∆ADC
Mario simplified the expression (4 z Superscript 8 Baseline) Superscript negative 3 as shown. (4 z Superscript 8 Baseline) Superscript negative 3 = 4 z Superscript 8 times (negative 3) Baseline = 4 z Superscript negative 24 Baseline = StartFraction 4 Over z Superscript 24 Baseline EndFraction Which statement explains Mario's error?
Answers
Answer:
Step-by-step explanation:
Given the expression \((4z^8)^{-3}\), to evaluate this, we will use one of the law of indices as shown;
\((a^m)^n = a^{mn}\)
\(4^{-3} * z^{8*-3}\)
\(= \frac{1}{4^3} * z^{-24}\\ \\= \frac{1}{64} * \frac{1}{z^{24}}\\ \\= \frac{1}{64z^{24}}\)
Mario's error was that she did not raise the value of 4 to the power of -3. She only raised z^8 to the power of -3 when it is supposed to affect both 4 and z^8
Answer:
The last one
Step-by-step explanation:
Andre types 208 words in 4 minutes. Noah typed 342 words in 6 minutes
A) Who typed faster
B) How many words can andre type in 10 minutes
C)Would you find the unit rate of words per minute or the unit rate of minutes per word to
figure out how long it would take Noah to write 1710 words? Why? (You do not need to
solve, just choose and explain why).
Answers
Answer:
Noah types faster because he can type more words per minute.
Step-by-step explanation:
For Andre you would divide 208 words by 4 minutes getting 52 words per minute. Then, for Noah divide 342 words by 6 minutes getting 57 words per minute.
Jeosksjdjdjdjjdjdjdjdj2+2 djskksosowo
Answers
Answer:
Watta is ittz
Step-by-step explanation:
:><>> :p hsjsjyzjsbshsgss 2+2 is 4....
Name the quadrilateral ?
Answers
Answer:
Rectancle
Step-by-step explanation:
Has four sides and four edges
Answer:
A rectangle
Step-by-step explanation:
A rectangle has 4 sides, in which the opposite angles are equal.
In here, AD = BC & AB = CD
Hope u understood
Please mark as brainliest
Thank You
I am stuck on the answer for this question
Answers
Answer:
12/13
Step-by-step explanation:
Trigonometric ratio:\(\sf Cos \ x = \dfrac{adjacent \ side \ to \ \angle x}{hypotenuse}\\\\\)
\(\sf = \dfrac{XY}{ZX}\\\\=\dfrac{36}{39}\\\\=\dfrac{36 \div3}{39 \div 3}\\\\=\dfrac{12}{13}\)
your anwer would be 12/13 love
Which statements are true? Check all that apply.
On a coordinate plane, point A is (2, 3), point B is (3, 2), point C is (negative 2, 2), point D is (negative 3, negative 3), point E is (0, 3), point F is (2, 0), and point G is (0, 0).
A is in Quadrant I.
B is on the x-axis.
C is in Quadrant I.
D is in Quadrant III.
E is on the x-axis.
F is on the x-axis.
G is on the y-axis
for ed
Answers
Answer:
A,D,F
A is in Quadrant I.
D is in Quadrant III.
F is on the x-axis.
Step-by-step explanation:
got this right..... I did this like 3 months ago so I just answered this
hope this helps:)
The statements A is in Quadrant I is true, D is in Quadrant III is true and F is on the x axis is true.
What is Coordinate geometry?Coordinate geometry is defined as the study of geometry using the coordinate points.
On a coordinate plane, point A is (2, 3),
point B is (3, 2),
point C is (negative 2, 2),
point D is (negative 3, negative 3),
point E is (0, 3),
point F is (2, 0), and
point G is (0, 0).
A coordinate geometry has 4 quadrants, in the first Quadrant the x and y axis values are positive.
In second quadrant the coordinates are (-x, y)
In third quadrant the coordinates are (-x, -y)
In fourth quadrant the coordinates are (x, y)
A is in Quadrant I is true
D is in Quadrant III is true
F is on the x axis is true.
Hence, the statements A is in Quadrant I is true, D is in Quadrant III is true and F is on the x axis is true.
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Aika is building a square garden. She places a garden post at (3.5 3.5). What is the location of the corner that reflects (3.5, 3.5) across the y-axis
Answers
Answer:
(-3.5, 3.5)
Step-by-step explanation:
When reflected across the y-axis, the sign of the x will change to the opposite.
Our points (3.5, 3.5)
What is the location of the corner that reflects (3.5, 3.5) across the y-axis?
(-3.5, 3.5)
HALP URGENT PLS im dum
x =x=x, equals
^\circ
∘
Answers
Answer:
x = 55°
Step-by-step explanation:
That square box indicates a right angle.
A right angle is 90°.
We know that angle x and the 35° angle are making up this 90° angle together.
So, the equation to show what this ship looks like is the following:
\(x+35=90\)
This is a simple equation, that if we solve, we get:
\(x=55\)
So, x is 55°.
Considering the angle of the ray, it is found that the value of x is of x = 55º.
What is the angle of the ray?The ray has an angle of 180º. It is composed by:
Angle x.An angle of 35º.An angle of 90º.Hence:
x + 35 + 90 = 180
x = 180 - 125
x = 55º.
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An automobile manufacturer claims that their van has a 53.8 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this van. After testing 16 vans they found a mean MPG of 53.4 with a standard deviation of 1 MPG. Is there sufficient evidence at the 0.1 level that the vans have an incorrect manufacturer's MPG rating
Answers
The value of 0.0062 is less that our significance level of 0.1, we reject the null hypothesis at the 0.1 level of significance and conclude with sufficient evidence that the manufacturer's MPG rating is incorrect.
To answer the question, we will conduct a hypothesis test to at the 0.1 level to ascertain whether or not the manufacturer's MPG rating is incorrect.
We start by stating the null and alternative hypotheses:
\($H_0$\): The mean miles/gallon for the vans is 53.8
\($H_A$\): The mean miles/gallon for the vans is not 53.8
We choose a significance level $\alpha = 0.1$ and calculate the following test statistic:
\($z = \frac{\bar{x}-\mu}{\sigma/\sqrt{n}} = \frac{53.4-53.8}{1/\sqrt{16}} = -2.5$\)
With a standard normal table, we look for the area to the left of -2.5, which is 0.0062. Because this value of 0.0062 is less that our significance level of 0.1, we reject the null hypothesis at the 0.1 level of significance and conclude with sufficient evidence that the manufacturer's MPG rating is incorrect.
Therefore, the value of 0.0062 is less that our significance level of 0.1, we reject the null hypothesis at the 0.1 level of significance and conclude with sufficient evidence that the manufacturer's MPG rating is incorrect.
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Add or subtract. Write each answer in standard torr
10. (4x3 - 5x2 + 3x – 8) + (2x3 – 2x2 + 6x +12)
Answers
Answer:
6x^3 - 7x^2 + 9x + 4
Step-by-step explanation:
Don’t understand this one, hoping for help
Answers
The answer is: 72, 90, 108
These are all multiples of 3, 6, and 9. 3*24, 12*6, and 9*8 is 72. 3*30, 6*15, and 9*10 is 90. 6*36, 6*18, and 9*12 is 108.
In the triangle below x= cm round to the nearest tenth 15 is the hypotenuse 35 is a angle and 90 in an angle. Please help
Answers
Answer:x= 38.079
Step-by-step explanation:
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